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Finding the Fourth Proportional to 5,543.51, 7,649.17 and 3,185.19

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Solution

The fourth proportional to 5,543.51, 7,649.17 and 3,185.19 is: 4,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.51 : 7,649.17 = 3,185.19 : x
  2. Step 2: Convert to fraction form
    5,543.51/7,649.17 = 3,185.19/x
  3. Step 3: Cross multiply
    5,543.51x = 7,649.17 × 3,185.19
  4. Step 4: Simplify right side
    5,543.51x = 24,364,051.83
  5. Step 5: Solve for x
    x = 24,364,051.83/5,543.51
  6. Step 6: Final answer
    x = 4,395.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.